A de-Sitter thick domain wall solution by elliptic functions

preprint2002arXivOpen access

Abstract

We obtain and study an analytical solution of a de-Sitter thick domain wall in five-dimensional Einstein gravity interacting with a scalar field. The scalar field potential is axion-like, V(phi)=a+b cos(phi) with constants a,b satisfying -3b<5a<3b, and the solution is expressed in terms of elliptic functions.

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